finding the perpendicular line of...

Question

y= 1/6x +4

Answer 1

The equation is in slope intercept form, and the slope is 1/6.

 

The slope of the line perpendicular to a line with a slope of 1/6 will be -6.  You haven't provided a target point that must be included in the perpendicular line.  Therefore any line of the form y = -6x + b will be perpendicular to the line y = 1/6 x + 4.

 

The slope of the perpendicular is the opposite of the reciprocal of the original slope.  Simply flip it and change the sign.

Answer 2

Question needs more information.

 

y = (1/6)x + 4 is a line with slope 1/6.  Any line perpendicular thereto must have slope = the negative reciprocal of 1/6, i.e. the perpendicular's slope must be -6.

 

To nail this down to any particular line, the problem would have to give a point--then we could write the necessary equation using Point-Sope form.